Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients

D. S. Anikonov; D. S. Konovalova

doi:10.1134/S0012266119020113

Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients

D. S. Anikonov, D. S. Konovalova

Кафедра дифференциальных уравнений ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We consider a second-order differential equation that is a mathematical model of transverse vibrations of a string or longitudinal vibrations of an elastic rod. The coefficients of the second derivatives are piecewise constant functions. An existence and uniqueness theorem is proved and an explicit formula is given for the generalized solution of the Cauchy problem.

Язык оригинала	английский
Страницы (с-по)	270-273
Число страниц	4
Журнал	Differential Equations
Том	55
Номер выпуска	2
DOI	https://doi.org/10.1134/S0012266119020113
Состояние	Опубликовано - 1 фев 2019

ГРНТИ

27 МАТЕМАТИКА

Доступ к документу

10.1134/S0012266119020113

Link to publication in Scopus

Fingerprint

Подробные сведения о темах исследования «Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{74de48e260ec4d589f77fbf052d4ab72,

title = "Generalized d{\textquoteright}Alembert Formula for the Wave Equation with Discontinuous Coefficients",

abstract = "We consider a second-order differential equation that is a mathematical model of transverse vibrations of a string or longitudinal vibrations of an elastic rod. The coefficients of the second derivatives are piecewise constant functions. An existence and uniqueness theorem is proved and an explicit formula is given for the generalized solution of the Cauchy problem.",

author = "Anikonov, {D. S.} and Konovalova, {D. S.}",

year = "2019",

month = feb,

day = "1",

doi = "10.1134/S0012266119020113",

language = "English",

volume = "55",

pages = "270--273",

journal = "Differential Equations",

issn = "0012-2661",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients. / Anikonov, D. S.; Konovalova, D. S.

В: Differential Equations, Том 55, № 2, 01.02.2019, стр. 270-273.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients

AU - Anikonov, D. S.

AU - Konovalova, D. S.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - We consider a second-order differential equation that is a mathematical model of transverse vibrations of a string or longitudinal vibrations of an elastic rod. The coefficients of the second derivatives are piecewise constant functions. An existence and uniqueness theorem is proved and an explicit formula is given for the generalized solution of the Cauchy problem.

AB - We consider a second-order differential equation that is a mathematical model of transverse vibrations of a string or longitudinal vibrations of an elastic rod. The coefficients of the second derivatives are piecewise constant functions. An existence and uniqueness theorem is proved and an explicit formula is given for the generalized solution of the Cauchy problem.

UR - http://www.scopus.com/inward/record.url?scp=85063789581&partnerID=8YFLogxK

U2 - 10.1134/S0012266119020113

DO - 10.1134/S0012266119020113

M3 - Article

AN - SCOPUS:85063789581

VL - 55

SP - 270

EP - 273

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 2

ER -